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arXiv · 2303.07348

Stochastic evolution equations with Wick-analytic nonlinearities

Tijana Levajkovic·Stevan Pilipovic·Dora Selesi·Milica Zigic
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Abstract

We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stochastic Fisher--KPP equations, stochastic Allen--Cahn, stochastic Newell--Whitehead--Segel, and stochastic Fujita--Gelfand equations. By implementing the theory of $C_0-$semigroups and evolution systems into the chaos expansion theory in infinite dimensional spaces, we prove existence and uniqueness of solutions for this class of stochastic partial differential equations.

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Tijana Levajkovic, Stevan Pilipovic, Dora Selesi, Milica Zigic. 2023-03-10. Stochastic evolution equations with Wick-analytic nonlinearities. https://doi.org/10.1080/17442508.2024.2347844

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